Lacunary Statistical and Lacunary Strongly Convergence of Generalized Difference Sequences of Fuzzy Numbers

Authors:
Y. Altin;M. Et;R. Çolak
Affiliations:
Department of Mathematics, Firat University, 23119, Elaziğ, Turkey;Department of Mathematics, Firat University, 23119, Elaziğ, Turkey;Department of Mathematics, Firat University, 23119, Elaziğ, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

The purpose of this paper is to introduce the concepts of lacunary statistical convergence and lacunary strongly convergence of generalized difference sequences of fuzzy numbers. We give some relations related to these concepts. We show that lacunary @D^m-statistical convergence and lacunary strongly @D"("p")^m-convergence are equivalent for @D^m-bounded sequences of fuzzy numbers. We also introduce the concept of lacunary @D^m-statistically Cauchy sequence and show that it is equivalent to the lacunary @D^m-statistical convergence.